Research Grants

Research Areas

• Development of Efficient Numerical Methods for PDEs and Their Applications

  • Generalized Differential Quadrature (GDQ) Method

  • Generalized Integral Quadrature (GIQ) Method

  • Domain-free Discretization (DFD) Method

  • Least Square-based Finite Difference (LSFD) Scheme

  • Radial Basis Function-based Differential Quadrature (RBF-DQ) Method

   

• Development of Lattice Boltzmann Method and Its Applications

  • Standard Lattice Boltzmann Method

  • Taylor Series Expansion and Least Square-based Lattice Boltzmann Method (TLLBM)

  • Lattice Kinetic Scheme

  • Application in Micro Flows

  • Application in Thermal and Turbulent Flows

  • Application in Multiphase and Multi-component Flows

  • Application in Compressible Flows

   

• Immersed Boundary Method

  • Some Results of N-S Equation

  • Some Results of LBM Simulation

 

• Development of Adaptive Stencil Refinement Method

  • Some Typical Results

  • Coupling with Local DFD Method

   

  Some Animations for Flow past Moving Bodies

  • Fish Motion (Simulated by Lattice Boltzmann Method)

   

 

• Development of Micro Thermophotovoltaic Systems